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Statics Of Rigid Bodies

Civil Engineering

Introduction to Statics and Engineering Idealizations

Interactive foundations of statics covering equilibrium, mass and weight, engineering units, model idealization, and vector addition.

Force Systems, Moments, and Distributed Loads

Interactive vector operations, equivalent force systems, moments, couples, and distributed-load resultants for Statics of Rigid Bodies.

Equilibrium of Particles

Interactive two-dimensional and three-dimensional particle equilibrium, cable tensions, pulley systems, and feasibility checks.

Two-Dimensional and Three-Dimensional Rigid-Body Equilibrium

Interactive support reactions, stability, spatial supports, and six-equation rigid-body equilibrium.

Analysis of Structures

Interactive rigid-body analysis of determinate trusses, frames, and machines.

Internal Forces in Structural Members

Interactive section-cut, axial, shear, and bending-moment analysis for determinate structural members.

Dry Friction

Dry-friction equilibrium, impending motion, wedges, belts, ladders, and sliding-versus-tipping behavior.

Centroids and Centers of Gravity

Composite areas, holes, polygons, density-weighted centers of gravity, and wire centroids.

Area Moments of Inertia and Section Properties

Centroidal properties, parallel axes, composite sections, principal axes, Mohr’s circle, and radius of gyration.

Virtual Work

Constraint-compatible virtual displacements for equilibrium of levers, pulleys, and mechanisms.

Cables and Arches

Interactive analysis of polygonal, parabolic, and catenary cables with a concise arch comparison.

Three-Hinged Arches

Interactive reactions, crown thrust, section forces, shape effects, and imposed-movement compatibility for statically determinate three-hinged arches.

Stability and Tipping

Base reactions, eccentricity, middle-third behavior, sliding, tipping, uplift, retaining walls, and crane stability.